1
MHT CET 2026 17th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If a circle passes through the points $(2,3)$ and $(4,5)$ and its center lies on the straight line $y - 4x + 3 = 0$, then its equation is......
A
$x^2 + y^2 - 4x - 10y + 25 = 0$
B
$x^2 + y^2 - 4x - 10y - 25 = 0$
C
$x^2 + y^2 - 4x + 10y - 25 = 0$
D
$x^2 + y^2 + 25 = 0$
2
MHT CET 2026 16th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
Line $l : x + y = 4$ intersects the circle $x^2 + y^2 - 2x - 2y = 2$ at points $A$ and $B$. If C is the center of the circle, then the area of $\triangle ABC$ is...
A
$\sqrt{2}$
B
$2$
C
$2\sqrt{2}$
D
$4$
3
MHT CET 2026 16th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
The equations of the tangent to the curve $x^2 + y^2 = 10$, where the tangent is parallel to the line $2x + y - 1 = 0$, are
A
$2x + y = \pm\sqrt{2}$
B
$2x + y = \pm 5\sqrt{2}$
C
$2x + y = \pm 2\sqrt{2}$
D
$2x + y = \pm 3\sqrt{2}$
4
MHT CET 2026 15th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
The angle between the tangents drawn from the origin to the circle $(x-7)^2 + (y+1)^2 = 25$ is
A
$45^\circ$
B
$90^\circ$
C
$60^\circ$
D
$30^\circ$

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